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Finding the Third Proportional to 772,381 and 1,682,069

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Solution

The third proportional to 772,381 and 1,682,069 is: 3,663,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,381 : 1,682,069 = 1,682,069 : x
  2. Step 2: Convert to fraction form
    772,381/1,682,069 = 1,682,069/x
  3. Step 3: Cross multiply
    772,381x = 1,682,069 × 1,682,069
  4. Step 4: Simplify right side
    772,381x = 2,829,356,120,761
  5. Step 5: Solve for x
    x = 2,829,356,120,761/772,381
  6. Step 6: Final answer
    x = 3,663,161.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.